Calista selects a box with a volume of Sin.3 to package her first order. • What is the length of each side of the box Calista selected?
• The items for Calista's order do not fit in her box. She needs a box that will hold
another 56in.3 of space. What would the length of each side of this box need to be?
Show the work to explain your answer.
• For her next order, Calista has three cube-shaped objects that need to be packed
into the same box. of the objects have a volume of 8in.3 The third object has a
volume of 27 in 3 What can be the minimum length of each side of the box? Show the
work to explain your answer.

It takes an ant farm 3 days to consume 1/2 of an apple. at that rate, in how many days will the ant farm consume 3 apples

Suppose that g(x)=f(x+9) which statement best compares the graph of g(x) with the graph of f(x)

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.